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MR959807 (89j:11121) 11Y16 (11T71 68Q25)
Itoh, Toshiya; Tsujii, Shigeo A fast algorithm for computing multiplicative inverses in ${\rm GF}(2\sp m)$ using normal bases. Inform. and Comput. 78 (1988), no. 3, 171–177.
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